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Finding the Third Proportional to 119,218.50 and 180,043.50

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Solution

The third proportional to 119,218.50 and 180,043.50 is: 271,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,218.50 : 180,043.50 = 180,043.50 : x
  2. Step 2: Convert to fraction form
    119,218.50/180,043.50 = 180,043.50/x
  3. Step 3: Cross multiply
    119,218.50x = 180,043.50 × 180,043.50
  4. Step 4: Simplify right side
    119,218.50x = 32,415,661,892.25
  5. Step 5: Solve for x
    x = 32,415,661,892.25/119,218.50
  6. Step 6: Final answer
    x = 271,901.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.